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Intuitionism and formalism

- L. Brouwer
- Mathematics
- 1 November 1913

Publisher Summary This chapter discusses the intuitionism and formalism. In Kant, one find an old form of intuitionism almost completely abandoned in which time and space are taken to be the forms of… Expand

On the structure of perfect sets of points

- L. Brouwer
- Computer Science, Mathematics

HISTORICAL BACKGROUND, PRINCIPLES AND METHODS OF INTUITIONISM

- L. Brouwer
- Mathematics, Philosophy
- 1975

Publisher Summary This chapter discusses the historical background, principles, and methods of intuitionism. The historical development of the mental mechanism of mathematical thought is naturally… Expand

An intuitionist correction of the fixed-point theorem on the sphere

- L. Brouwer
- Mathematics
- Proceedings of the Royal Society of London…
- 5 June 1952

This is a specimen of intuitionist recasting of topology, and in particular an illustration of the consequences of the invalidity of the Bolzano-Weierstrass theorem in intuitionism, for the validity… Expand

Mystic, geometer, and intuitionist : the life of L.E.J. Brouwer

- L. Brouwer, D. Dalen
- History
- 1999

Preface 12. The Fathers of Dimension 13. Progress, recognition, and frictions 14. From Berlin to Vienna 15. The three Battles 16. The Thirties 17. War and Occupation 18. Postwar Events 19. The… Expand

Brouwer's Cambridge Lectures on Intuitionism

- L. Brouwer, D. Dalen
- Mathematics
- 30 September 1981

Frontispiece L. E. J. Brouwer Editorial preface 1. Historical introduction and fundamental notions 2. General properties of species, spread directions, spreads and spaces 3. Order 4. Precision… Expand

CONSCIOUSNESS, PHILOSOPHY, AND MATHEMATICS

- L. Brouwer
- Psychology
- 1975

Publisher Summary This chapter describes the importance of consciousness, philosophy, and mathematics. Consciousness in its deepest home seems to oscillate slowly, will-lessly, and reversibly between… Expand

POINTS AND SPACES

- L. Brouwer
- Mathematics
- 1954

Publisher Summary This chapter focuses on different aspects of points and spaces. The first act of intuitionism completely separates mathematics from mathematical language, in particular from the… Expand

An Example of Contradictority in Classical Theory of Functions

- L. Brouwer
- Mathematics
- 1954

Publisher Summary This chapter presents an example of contradictority in classical theory of functions. The classical theorem asserting that each monotone function of the unity continuum is… Expand

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